An Efficient Weighting Update Method to Achieve Acceptable Consistency Deviation in Analytical Target Cascading

By Jeremy J. Michalek, Panos Y. Papalambros. Design Automation Conference, 2005

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An augmented Lagrangian relaxation for analytical target cascading using the alternating direction method of multipliers (2006, methodology): “The latter mechanism was used for ATC by Michalek and Papalambros (2005a) because only the quadratic part of the augmented Lagrangian function was utilized.”
Multidisciplinary design optimization: A survey of architectures (2013, background): “Finally, Han and Papalambros [171] propose a version of ATC based on sequential linear programming [172, 173], where inconsistency is penalized using infinity norms.”
Lagrangian coordination for enhancing the convergence of analytical target cascading (2006, background): “Once the lower-level problem has been solved, the adjusted responses and linking variables are returned to the upper level so that the overall responses are adjusted based on the feasibility of lowerlevel design.”